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关于任意随机序列的一个强偏差定理

A Class of Strong Deviation Theorem for Arbitrary Stochastic Sequence
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摘要 引入任意随机变量序列极限对数似然比概念,作为任意相依随机序列联合分布与其边缘乘积分布"不相似"性的一种度量,利用截尾方法构造几乎处处收敛的上鞅,给出了一个关于任意随机序列的强偏差定理。 The notion of limit relative logarithmic likelihood ratio of stochastic sequences, as a measure of 'dissimilarity' between their joint distributions and the product of their marginals, is introduced. Construct convergence super-martingale by means of truncation method.A strong deviation theorem for arbitrary stochastic sequence is obtained.
作者 陈文波
出处 《安徽工业大学学报(自然科学版)》 CAS 2005年第3期308-309,共2页 Journal of Anhui University of Technology(Natural Science)
基金 安徽省教育厅自然科学研究基金项目(2004Kj069)
关键词 随机序列 极限相对对数似然比 强偏差定理 random sequence limit relative logarithmic likelihood ratio strong deviation theorem
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